We announce some new results regarding the classification problem for separable von Neumann algebras. Our results are obtained by applying the notion of Borel reducibility and Hjorth's theory of turbulence to the isomorphism relation for separable von Neumann algebras.
"Borel reducibility and classification of von Neumann algebras." Bull. Symbolic Logic 15 (2) 169 - 183, June 2009. https://doi.org/10.2178/bsl/1243948485